Reviews of relevant research on the application of operations research and statistics that appeared prior to 1980 are compared with those appearing in the early 1980s. In summary, both explicit and implicit users of mathematics in educational administration see it as a tool that essentially brings order and generalizability to administrative data.…

Through individual interviews with remedial and precalculus university students, five characteristics of the student were identified that influence whether a diagram is used in solving a problem and whether its use is successful. The interviews also suggested a set of subskills that contribute to the overall ability to draw effective diagrams.…

Numerous research studies over the past five years indicate that a high percentage of college students have severe deficiencies in their ability to use mathematics as a language for representing simple quantitative relationships. In the United States these problems are nearly as common among students with strong computational skills in algebra and…

Examines the students' understanding of mathematical structure and the relationship between problem solving and the identification of the structure in 13 word problems. Multidimensional scaling and hierarchical cluster analysis were used to assess how subjects organized word problems in their minds. (YP)

Presented is a calculation for the probability of a athletic event. Assumptions, computations, and questions to be considered in the solution of this problem are discussed. (CW)

This study examined the role and development of applied problem solving in mathematics education in the Finnish comprehensive school. The development during the 1980s of applied problem solving in schools was positive in many ways: the changes were cautious and took place more slowly than had been planned; and many obstacles related to the…

The ways in which students in grades five and six solve problems is the focus of this paper, which provides background for the staff of the Skills Essential to Learning Television Project, (a multi-level series of video and print resources for classroom use). It considers the problem-solving process categories of understanding, transformation, and…

Investigated the effect of the choice of a model's medium (algebraic expression or computer program) on the performance of students. Student programers did not transfer the qualities of a computer program approach to their algebraic models. Provides items for five tests. (YP)

This research was concerned with the clarification of the role that the external representation process (e.g. drawing) plays in children's solving of complex arithmetic problems. Fourteen children in the 10- to 12-year-old age range were asked to represent and solve five complex arithmetic problems (three with temporal organization of data, two…

This paper analyzes the quantitative and situational structure of algebra story problems, uses these materials to propose an interpretive framework for written problem soving protocols, and then presents an exploratory study of the episodic structure of algebra story problem solving in a sizable group of mathematically competent subjects. Analyses…

This study examined the use of heuristic problem-solving strategies in math by seventh-graders under three different conditions: working individually; working in groups; and working as cooperative teams. No significant differences were found for the three conditions over a 5-week experimental period on a problem solving post-text (the Maryland…

This publication contains revised versions of the major papers presented at a research conference on the learning and teaching of algebra. The papers and discussions focused on four major themes: what is algebra and what should it become, in light of continuing technological advances; what has research told us about the teaching and learning of…

This project was designed to: (1) assess 7th-graders' metacognitive beliefs and processes and investigate how they affect problem-solving behaviors; and (2) explore the extent to which these students can be taught to be more strategic and aware of their own problem-solving behaviors. The primary assessment was conducted by analyzing video tapes of…

These proceedings include two lectures followed by working group and topic group contributions in reduced format. The two lectures were by Heinrich Bauersfeld, speaking on contributions to a fundamental theory of mathematics learning and teaching, and Henry Pollak, speaking on the relationship between applications of mathematics and the teaching…

Suggests that secondary school students seem to have reasonably good procedural knowledge in areas of mathematics as rational numbers, probability, measurement, and data organization and interpretation. It appears, however, that students are lacking the conceptual knowledge enabling them to successfully do the assessment items on applications,…